{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(60000, 28, 28)\n",
      "(10000, 28, 28)\n"
     ]
    }
   ],
   "source": [
    "from tensorflow import keras\n",
    "\n",
    "(x_train, y_train), (x_test, y_test) = keras.datasets.mnist.load_data()\n",
    "print(x_train.shape)\n",
    "print(x_test.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize_input(img, ax):\n",
    "    ax.imshow(img, cmap='gray')\n",
    "    width, height = img.shape\n",
    "    thresh = img.max()/2.5\n",
    "    for x in range(width):\n",
    "        for y in range(height):\n",
    "            ax.annotate(str(round(img[x][y],2)), xy=(y,x),\n",
    "                        horizontalalignment='center',\n",
    "                        verticalalignment='center',\n",
    "                        color='white' if img[x][y]<thresh else 'black')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure(figsize = (10,10)) \n",
    "ax = fig.add_subplot(111)\n",
    "visualize_input(x_train[0], ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '[4]')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import random\n",
    "import matplotlib.pyplot as plt\n",
    "i = random.randint(0,60000)\n",
    "plt.imshow(x_train[i],cmap='gray') # Color map\n",
    "plt.title([y_train[i]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=uint8),\n",
       " array([5923, 6742, 5958, 6131, 5842, 5421, 5918, 6265, 5851, 5949]))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# How many images are there in every digit?\n",
    "import numpy as np\n",
    "np.unique(y_train,return_counts=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=uint8),\n",
       " array([ 980, 1135, 1032, 1010,  982,  892,  958, 1028,  974, 1009]))"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(y_test,return_counts=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "0.0\n"
     ]
    }
   ],
   "source": [
    "# Normalization : Scaling down the value to a specific range(0-1)\n",
    "x_train=x_train/255\n",
    "x_test = x_test/255\n",
    "\n",
    "# AFter Normalization\n",
    "print(x_train.max())\n",
    "print(x_train.min())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2023-04-20 09:49:54.810439: W tensorflow/core/platform/profile_utils/cpu_utils.cc:128] Failed to get CPU frequency: 0 Hz\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1500/1500 [==============================] - 3s 2ms/step - loss: 0.2338 - accuracy: 0.9320 - val_loss: 0.1272 - val_accuracy: 0.9617\n",
      "Epoch 2/10\n",
      "1500/1500 [==============================] - 3s 2ms/step - loss: 0.0933 - accuracy: 0.9721 - val_loss: 0.0928 - val_accuracy: 0.9719\n",
      "Epoch 3/10\n",
      "1500/1500 [==============================] - 2s 2ms/step - loss: 0.0609 - accuracy: 0.9814 - val_loss: 0.0913 - val_accuracy: 0.9731\n",
      "Epoch 4/10\n",
      "1500/1500 [==============================] - 2s 2ms/step - loss: 0.0409 - accuracy: 0.9869 - val_loss: 0.0799 - val_accuracy: 0.9771\n",
      "Epoch 5/10\n",
      "1500/1500 [==============================] - 3s 2ms/step - loss: 0.0298 - accuracy: 0.9908 - val_loss: 0.0883 - val_accuracy: 0.9758\n",
      "Epoch 6/10\n",
      "1500/1500 [==============================] - 3s 2ms/step - loss: 0.0235 - accuracy: 0.9925 - val_loss: 0.0913 - val_accuracy: 0.9753\n",
      "Epoch 7/10\n",
      "1500/1500 [==============================] - 2s 2ms/step - loss: 0.0192 - accuracy: 0.9939 - val_loss: 0.0818 - val_accuracy: 0.9797\n",
      "Epoch 8/10\n",
      "1500/1500 [==============================] - 3s 2ms/step - loss: 0.0150 - accuracy: 0.9948 - val_loss: 0.0914 - val_accuracy: 0.9776\n",
      "Epoch 9/10\n",
      "1500/1500 [==============================] - 3s 2ms/step - loss: 0.0104 - accuracy: 0.9969 - val_loss: 0.0913 - val_accuracy: 0.9788\n",
      "Epoch 10/10\n",
      "1500/1500 [==============================] - 3s 2ms/step - loss: 0.0121 - accuracy: 0.9960 - val_loss: 0.1120 - val_accuracy: 0.9754\n"
     ]
    }
   ],
   "source": [
    "from keras.layers import Dense\n",
    "from keras.layers import Flatten\n",
    "model = keras.models.Sequential()\n",
    "model.add(Flatten(input_shape=(28,28))) # 784\n",
    "model.add(Dense(392,activation='relu'))\n",
    "model.add(Dense(10,activation='softmax'))\n",
    "\n",
    "model.compile(optimizer='adam',loss='sparse_categorical_crossentropy',metrics=['accuracy'])\n",
    "history = model.fit(x_train,y_train,epochs=10,validation_split=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2a75c2e60>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot(history.history['loss'])\n",
    "plt.plot(history.history['val_loss'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2a762c940>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history.history['accuracy'])\n",
    "plt.plot(history.history['val_accuracy'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1/1 [==============================] - 0s 83ms/step\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import keras.utils as image\n",
    "\n",
    "img = image.load_img(path=\"8.png\", color_mode= 'grayscale', target_size=(28, 28))\n",
    "img = image.img_to_array(img)\n",
    "plt.imshow(image.array_to_img(img), cmap=\"gray\")\n",
    "img = img.astype('float')/255\n",
    "test_img = img.reshape((1, 28, 28, 1))\n",
    "#img_class = model.predict_classes(test_img)\n",
    "img_class = np.argmax(model.predict(test_img), axis = 1)\n",
    "prediction = img_class[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "313/313 [==============================] - 0s 662us/step\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.9774"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score,confusion_matrix,classification_report\n",
    "\n",
    "y_pred = model.predict(x_test)\n",
    "y_pred = np.argmax(y_pred,axis=1)\n",
    "accuracy_score(y_pred,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 971,    0,    5,    0,    1,    3,   11,    0,    4,    2],\n",
       "       [   0, 1128,    1,    0,    1,    0,    3,    4,    0,    2],\n",
       "       [   1,    1,  992,    0,    0,    0,    0,    4,    0,    0],\n",
       "       [   1,    2,   10,  994,    1,   12,    1,    2,    4,    0],\n",
       "       [   1,    0,    0,    0,  949,    0,    5,    1,    2,    4],\n",
       "       [   1,    1,    0,    3,    0,  860,    3,    0,    3,    1],\n",
       "       [   1,    1,    1,    0,    5,    2,  932,    0,    1,    0],\n",
       "       [   1,    0,    6,    1,    2,    0,    2,  998,    2,    1],\n",
       "       [   1,    2,   14,    3,    0,    3,    0,    5,  951,    0],\n",
       "       [   2,    0,    3,    9,   23,   12,    1,   14,    7,  999]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "confusion_matrix(y_pred,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              precision    recall  f1-score   support\n",
      "\n",
      "           0       0.99      0.97      0.98       997\n",
      "           1       0.99      0.99      0.99      1139\n",
      "           2       0.96      0.99      0.98       998\n",
      "           3       0.98      0.97      0.98      1027\n",
      "           4       0.97      0.99      0.98       962\n",
      "           5       0.96      0.99      0.98       872\n",
      "           6       0.97      0.99      0.98       943\n",
      "           7       0.97      0.99      0.98      1013\n",
      "           8       0.98      0.97      0.97       979\n",
      "           9       0.99      0.93      0.96      1070\n",
      "\n",
      "    accuracy                           0.98     10000\n",
      "   macro avg       0.98      0.98      0.98     10000\n",
      "weighted avg       0.98      0.98      0.98     10000\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(classification_report(y_pred,y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.save(\"mnist.hdf5\")"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "63b504d217b8b0366be198d66d8512b5f82260e903e4eeb3759a93449a8d2761"
  },
  "kernelspec": {
   "display_name": "Python 3.7.0 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
